Let u m (x, t) be the solution to the Porous Media Equation, u t = u m , in a domain ⊂ R n , with initial data u m (x, 0) = f (x) and boundary data u m m (x, t) = g(x). Let v m ≡ u m m . We prove the convergence as m goes to infinity of the pair (u m , v m ) to a pair (u ∞ , v ∞ ) which is a weak so
✦ LIBER ✦
Convergence of the porous media equation to Hele-Shaw
✍ Scribed by O. Gil; F. Quirós
- Publisher
- Elsevier Science
- Year
- 2001
- Tongue
- English
- Weight
- 173 KB
- Volume
- 44
- Category
- Article
- ISSN
- 0362-546X
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
Boundary layer formation in the transiti
✍
O. Gil; F. Quirós
📂
Article
📅
2003
🏛
Elsevier Science
🌐
English
⚖ 169 KB
Nonexistence of solutions to Hele-Shaw e
✍
Ming Fang; R.P. Gilbert
📂
Article
📅
2005
🏛
Elsevier Science
🌐
English
⚖ 182 KB
Numerical solution of the Hele-Shaw equa
✍
Nathaniel Whitaker
📂
Article
📅
1990
🏛
Elsevier Science
🌐
English
⚖ 74 KB
The reducibility of the anisotropic Hele
✍
M.M. Alimov
📂
Article
📅
2007
🏛
Elsevier Science
🌐
English
⚖ 211 KB
It is established that the unilateral Hele-Shaw problem for flows in a channel when there is bulk anisotropy and Saffman-Taylor boundary conditions on the free boundary can be reduced to the isotropic case using a linear non-orthogonal coordinate transformation. Correspondingly, any exact solution o
The equations of motion in porous media
✍
S. Whitaker
📂
Article
📅
1966
🏛
Elsevier Science
🌐
English
⚖ 752 KB
Ah&act-The continuity equation and the equations of motion are developed for flow in anisotropic porous media, and the conditions under which Darcy's law holds are clearly established.
New contributions to the solution of tra
✍
S.E. Serrano; G. Adomian
📂
Article
📅
1996
🏛
Elsevier Science
🌐
English
⚖ 768 KB